Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem
Joint Authors
Tang, Guangyao
Tan, Xuewen
Xiang, Changcheng
Liu, Xinzhi
Qin, Wenjie
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-14
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper investigates the impact of the threshold control strategy and environmental randomness on pest control.
Firstly, a fixed-time impulsive stochastic ecosystem with IPM strategy is proposed, where the local and global existence of positive solution and the boundedness of expectation are discussed in detail.
Moreover a sufficient condition for the extinction of the pest population with probability-1 is given.
Then, a state-dependent stochastic ecosystem with IPM strategy is proposed.
By employing the numerical simulations, the effects of ambient noise intensity on pest-outbreak are discussed.
The result shows that there is a close relationship among the frequency of pest-outbreak, ET, the environmental perturbation intensity, and control measures.
This study helps us to understand the impact of random factors on pest-outbreak frequency by theoretical derivations and numerical simulations; the results have directive significance in the design of an optimal control strategy for the department of ecological agriculture.
American Psychological Association (APA)
Tan, Xuewen& Qin, Wenjie& Tang, Guangyao& Xiang, Changcheng& Liu, Xinzhi. 2019. Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem. Complexity،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1132889
Modern Language Association (MLA)
Tan, Xuewen…[et al.]. Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem. Complexity No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1132889
American Medical Association (AMA)
Tan, Xuewen& Qin, Wenjie& Tang, Guangyao& Xiang, Changcheng& Liu, Xinzhi. Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem. Complexity. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1132889
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132889